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087

Case 087Financial statement analysisCore

A vehicle lender earns a 15% yield, pays 9% on borrowings of five sixths of its assets, spends 3% on operations and loses 1.5% to credit costs. Compute ROA and ROE, then find what each single lever must do to reach a 16% ROE.

1The situation

Kshitij Vahan Finance, an invented lender for trucks and tractors, has Rs 20,000 crore of loans, which are also its assets. The loans yield 15%. Five sixths of the assets are funded by borrowings costing 9%; the rest is equity, so the balance sheet is levered six times. Operating costs run at 3% of assets and credit costs, the loans written off or provided for each year, at 1.5%. Tax is 25%.

The board has set a return on equity target of 16%. The CFO asks you to compute today's ROA and ROE, and then to show what each lever, on its own, would have to do to reach the target.

2Your task

What are ROA and ROE today, how much must each single lever move to deliver 16%, and which lever would you tell the board to rely on?

Quick check

Before working the levers: what is Kshitij's return on equity today?

Worked solution

Try it on paper, then open one step at a time.

30-second answerThe answer to give first

ROA is 2.25% and ROE 13.5%; reaching 16% needs about 0.56 points more of pre-tax ROA, Rs 111 crore a year, from any one lever. That is yield up to 15.56%, cost of funds down to 8.33%, opex down to 2.44%, credit cost down to 0.94%, or leverage up to 8.2x. In points they look alike; as a share of each line they do not. Credit cost would have to fall 37%. The board should rely on funding cost and pricing, and treat credit cost as the lever that moves on its own.

Step 1How does a lender's ROE get built?

Think of a shop that borrows most of its stock money from a wholesaler. Its profit on sales is thin, but because very little of its own money is in the shop, the return on that money can be high. A lender's ROE is a thin return on assets multiplied by leverage, so every line is measured in fractions of a per cent of assets and every fraction is worth six times as much to equity. Interest is the line people get wrong: 9% applies only to the five sixths that is borrowed, so it costs 7.5% of assets. Yield 15% less 7.5% leaves a net interest marginInterest earned on assets less interest paid on funding, as a share of assets. of 7.5%; opex of 3% and credit cost of 1.5% leave 3.0% before tax.

A 15% yield becomes a 2.25% ROA, and leverage turns that into 13.5%15.00%Yield onassets-7.50%Interest9% x 5/6-3.00%Operatingcost-1.50%Creditcost-0.75%Taxat 25%2.25%ROAROE = ROA x leverage = 2.25% x 6 = 13.5%. Target 16% needs ROA of 2.67%, a gap of 0.56 points
Kshitij's 15% yield loses 7.5 points to interest, 3 to operating cost, 1.5 to credit cost and 0.75 to tax, leaving an ROA of 2.25% that six times leverage turns into an ROE of 13.5%, short of the 16% target by 0.56 points of pre-tax ROA.
Step 2How much must each lever move?

Work backwards from the target. A 16% ROE at six times leverage needs an ROA of 2.667%, which is 3.556% before tax. The gap is 0.56 points of pre-tax ROA, about Rs 111 crore a year on Rs 20,000 crore of assets, and each lever must supply all of it alone. Yield must rise to 15.56%. Cost of funds must fall by 0.67 points, to 8.33%, because it applies to only five sixths of assets. Opex must fall to 2.44% and credit cost to 0.94%. Leverage is different: more borrowing adds interest cost as well as scale, so ROE rises by only 1.125 points for each extra turn, and reaching 16% takes 8.2x.

The relationship
ROE(L)=0.75 (0.15−0.09(1−1L)−0.03−0.015) L=0.0675+0.01125 LL∗=0.16−0.06750.01125=8.22\text{ROE}(L) = 0.75\,(0.15 - 0.09(1 - \tfrac{1}{L}) - 0.03 - 0.015)\,L = 0.0675 + 0.01125\,L \qquad L^* = \frac{0.16 - 0.0675}{0.01125} = 8.22
Lleverage, assets divided by equity
0.09 (1 - 1/L)interest cost as a share of assets: 9% on the borrowed fraction
0.0675the after-tax cost of funds, 0.75 times 9%, which every extra turn of leverage must clear
0.01125after-tax spread of yield over funding, opex and credit cost: 0.75 times 1.5%
What it says in wordsEach extra turn of leverage adds only 1.125 points of ROE because the new assets earn just 1.5% over their all-in cost, so reaching 16% needs about 8.2 times leverage.
LeverTodayNeeded for 16% ROEChange, as a share of the lineWhat it takes
Yield15.00%15.56%+3.7%Reprice or shift mix toward used vehicles
Cost of funds9.00%8.33%-7.4%A rating upgrade or cheaper bank lines
Opex / assets3.00%2.44%-18.5%A fifth of the cost base
Credit cost1.50%0.94%-37.0%Collections far better than any normal year
Leverage6.0x8.2x+37.0%Capital rules permitting; confirm the current limit
Each lever must deliver the same 0.56 points of pre-tax ROA, but as a share of its own line that is a 3.7% change in yield against a 37% cut in credit cost or a 37% rise in leverage.
Every lever needs the same 0.56 points of ROA; they are not the same size to pullYield+3.7% (15.00% to 15.56%)Cost of funds-7.4% (9.00% to 8.33%)Opex / AUM-18.5% (3.00% to 2.44%)Credit cost-37.0% (1.50% to 0.94%)Leverage, x+37.0% (6.00x to 8.22x)change needed, as a share of the lever's own level
Measured against its own level, the yield needs a 3.7% move and funding cost a 7.4% move, while credit cost would have to fall 37% and leverage rise 37% to 8.2x, so the levers that look equal in points are far from equal in effort.
Step 3Which lever would you tell the board to rely on?

Rank them by how much of the move is in management's hands. Funding cost and pricing are the credible levers; credit cost is the one that moves on its own, in both directions. A 0.67 point cut in borrowing cost is what a rating upgrade or a shift from bank lines to bonds typically aims at, and a 0.56 point rise in yield is a pricing or mix decision, though higher-yield segments usually bring higher credit cost with them. Cutting a fifth of operating cost from a business that collects instalments in cash across small towns is slow. Leverage of 8.2x may sit above what capital rules or lenders allow, so check the current regulatory minimum before offering it. And credit cost works the other way just as easily: a bad year that lifts it by the same 0.56 points, to 2.06%, takes ROE down to 11.0%. That asymmetry is why rating analysts watch a lender's credit cost line before any other.

Where candidates lose it

The usual loss is charging 9% on all the assets, which gives a net interest margin of 6% and an ROA of 1.125%. Interest is paid only on the borrowed five sixths, and the gap between the two answers is a full 1.5 points of assets, nine points of ROE.

The second loss is treating leverage like the other levers. More borrowing brings its own interest cost, so each extra turn adds only the thin after-tax spread, and the leverage needed for 16% is 8.2x, not the 7.1x a candidate gets by dividing 16% by today's ROA.

What the interviewer asks next

  • Credit cost doubles to 3% in a downturn. What happens to ROE, and what does that say about how much leverage is prudent?
  • Kshitij raises Rs 1,000 crore of fresh equity. What happens to ROE immediately, and what must it do with the money?
  • Why do rating agencies prefer a lender that reaches 16% through margin rather than through leverage?
  • How would securitising Rs 5,000 crore of loans change ROA and ROE?
← Case 086A microfinance lender has 30% of its book in one state where loan waiver talk is breaking repayment discipline. Stress that state for an 8% default rate with a 60% loss, and show what it does to profit, returns and capital.Case 088 →A company's adjusted EBITDA of Rs 300 crore excludes exceptional charges that have appeared in each of the last five years. At 12x EBITDA, how much value depends on believing the label?

Company names and figures are illustrative.

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